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Finding the Fourth Proportional to 672.52, 1,010.31 and 644.87

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Solution

The fourth proportional to 672.52, 1,010.31 and 644.87 is: 968.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.52 : 1,010.31 = 644.87 : x
  2. Step 2: Convert to fraction form
    672.52/1,010.31 = 644.87/x
  3. Step 3: Cross multiply
    672.52x = 1,010.31 × 644.87
  4. Step 4: Simplify right side
    672.52x = 651,518.61
  5. Step 5: Solve for x
    x = 651,518.61/672.52
  6. Step 6: Final answer
    x = 968.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.